LCM of 963, 115, 667, 561, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 115, 667, 561, 990 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 963, 115, 667, 561, 990. So, keep reading to learn more.
Given numbers are 963,115,667,561,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,115,667,561,990 is 1201140270.
Find LCM of 963,115,667,561,990 with Prime Factorization
| 3 | 963, 115, 667, 561, 990 |
| 3 | 321, 115, 667, 187, 330 |
| 5 | 107, 115, 667, 187, 110 |
| 11 | 107, 23, 667, 187, 22 |
| 23 | 107, 23, 667, 17, 2 |
| 107, 1, 29, 17, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 11 x 23 x 107 x 1 x 29 x 17 x 2 = 1201140270
Therefore, the lowest common multiple of 963,115,667,561,990 is 1201140270.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
963 x 115 x 667 x 561 x 990 = 41024945921850
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
963 : 1, 3, 9, 107, 321, 963
115 : 1, 5, 23, 115
667 : 1, 23, 29, 667
561 : 1, 3, 11, 17, 33, 51, 187, 561
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,115,667,561,990, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
115:5x 23
667:23x 29
561:3x 11x 17
990:2x 3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 11x 23 = 34155
Therefore, the value for common factors is 34155.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 41024945921850/(1x34155)
LCM = 41024945921850/34155
LCM = 1201140270
Thus, we can understand that the LCM of 963,115,667,561,990 is 1201140270.
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FAQs on LCM of 963, 115, 667, 561, 990
1. What is the LCM of 963, 115, 667, 561, 990?
Answer: LCM of 963, 115, 667, 561, 990 is 1201140270.
2. How to calculate the LCM of 963, 115, 667, 561, 990?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 963, 115, 667, 561, 990.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.